{"id":"https://openalex.org/W2040335611","doi":"https://doi.org/10.1109/cdc.2013.6759860","title":"Fundamental limits on robustness measures in networks of interconnected systems","display_name":"Fundamental limits on robustness measures in networks of interconnected systems","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2040335611","doi":"https://doi.org/10.1109/cdc.2013.6759860","mag":"2040335611"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6759860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6759860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058687251","display_name":"Milad Siami","orcid":"https://orcid.org/0000-0001-7253-4464"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Milad Siami","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA","Dept. of Mech. Eng. & Mech., Lehigh Univ., Bethlehem, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA","institution_ids":["https://openalex.org/I186143895"]},{"raw_affiliation_string":"Dept. of Mech. Eng. & Mech., Lehigh Univ., Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031516064","display_name":"Nader Motee","orcid":"https://orcid.org/0000-0002-0597-3659"},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nader Motee","raw_affiliation_strings":["Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA","Dept. of Mech. Eng. & Mech., Lehigh Univ., Bethlehem, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA","institution_ids":["https://openalex.org/I186143895"]},{"raw_affiliation_string":"Dept. of Mech. Eng. & Mech., Lehigh Univ., Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I186143895"],"apc_list":null,"apc_paid":null,"fwci":5.6346,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.97189444,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"67","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.716076672077179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47549355030059814},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4668121337890625},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.4231227934360504},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.41508036851882935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3996560573577881},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3469048738479614},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3441080152988434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3389875292778015},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33168840408325195},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.29148364067077637}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.716076672077179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47549355030059814},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4668121337890625},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.4231227934360504},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.41508036851882935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3996560573577881},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3469048738479614},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3441080152988434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3389875292778015},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33168840408325195},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29148364067077637},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6759860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6759860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W165850321","https://openalex.org/W247697463","https://openalex.org/W1484040084","https://openalex.org/W1515707356","https://openalex.org/W1605161779","https://openalex.org/W1963938720","https://openalex.org/W1964560831","https://openalex.org/W1966909869","https://openalex.org/W1983883079","https://openalex.org/W1994308164","https://openalex.org/W2066930145","https://openalex.org/W2071090652","https://openalex.org/W2076736217","https://openalex.org/W2086016772","https://openalex.org/W2097414360","https://openalex.org/W2099689250","https://openalex.org/W2103714988","https://openalex.org/W2129248505","https://openalex.org/W2151045342","https://openalex.org/W2400691233","https://openalex.org/W2964155796","https://openalex.org/W3104175967","https://openalex.org/W6649191405","https://openalex.org/W6667980390"],"related_works":["https://openalex.org/W2086397253","https://openalex.org/W2133122801","https://openalex.org/W600422426","https://openalex.org/W2007156430","https://openalex.org/W2170882281","https://openalex.org/W2011784152","https://openalex.org/W2122332063","https://openalex.org/W2018019385","https://openalex.org/W4200372685","https://openalex.org/W58770712"],"abstract_inverted_index":{"We":[0,49,127],"investigate":[1],"robustness":[2,34,56,98],"of":[3,26,42,45,70,82,85,91,109,120,123,138,160,182,186,202,212],"interconnected":[4],"dynamical":[5,61,77],"networks":[6,19,157],"with":[7,20,194],"respect":[8],"to":[9,36,115,147,209],"external":[10],"distributed":[11],"stochastic":[12],"disturbances.":[13],"In":[14],"this":[15],"paper,":[16],"we":[17,152,190],"consider":[18,191],"linear":[21,60],"time-invariant":[22],"dynamics.":[23],"The":[24],"\u210b2norm":[25,84],"the":[27,38,43,46,55,83,86,92,106,116,121,124,136,139,158,166,171,183,187,200,203,210,213],"underlying":[28,184],"system":[29],"is":[30,94,205],"considered":[31],"as":[32,96,165],"a":[33,97,110],"index":[35],"measure":[37,57],"expected":[39,117],"steady-state":[40,118],"dispersion":[41,119],"state":[44,122],"entire":[47,125],"network.":[48,126,188],"present":[50],"new":[51],"tight":[52],"bounds":[53],"for":[54,58],"general":[59],"networks.":[62,78,140],"We,":[63],"then,":[64],"focus":[65],"on":[66,135,179],"two":[67,148],"specific":[68,180],"classes":[69],"networks:":[71],"first-":[72],"and":[73,131,173,197,207],"second-order":[74,195],"consensus":[75],"in":[76,155,170],"A":[79],"weighted":[80],"version":[81],"system,":[87],"so":[88],"called":[89],"LQ-energy":[90,113,137,161,201],"network,":[93],"introduced":[95],"measure.":[99],"It":[100],"turns":[101],"out":[102],"that":[103,154,174,199],"when":[104],"LQis":[105],"Laplacian":[107],"matrix":[108],"complete":[111],"graph,":[112],"reduces":[114],"quantify":[128],"several":[129],"graph-dependent":[130,206],"graph-independent":[132],"fundamental":[133],"limits":[134],"Our":[141],"theoretical":[142],"results":[143],"have":[144],"been":[145],"applied":[146],"application":[149],"areas.":[150],"First,":[151],"show":[153,198],"power":[156],"concept":[159],"can":[162],"be":[163],"interpreted":[164],"total":[167],"resistive":[168],"losses":[169],"network":[172,204],"it":[175],"does":[176],"not":[177],"depend":[178],"structure":[181],"graph":[185],"Second,":[189],"formation":[192],"control":[193],"dynamics":[196],"corresponds":[208],"energy":[211],"flock.":[214]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
